Please show your work and calculations

Problem 6.3. Solve the problem and upload your answers on the answer sheet into Canvas. SHOW ALL WORK. The time to make beds at a motel should fall into an agreed-on range of times. A sample of four housekeeping people was selected, and the time needed to make a bed was observed on three different days: Page 168 a. Determine for the three-sample periods (M, T, F) with four observations. X double bar and R bar. b. Then calculate UCL and LCL for X bar and R. c. Plot the X bar and R charts. d. Determine if process is in control? Yes or No. Why? e. After the control chart was established (above), a sample of four observations had the following times in seconds : 185,150,192, and 178. Is corrective action needed? Treat these four observations like a new sample period (day of the week). Determine X bar and R and see if the results fall between UCL and LCL calculated above. \begin{tabular}{lc} & Chapter 6 Making Beds Problem - Answer Sheet NAME \\ \cline { 2 - 3 } X double bar & Show calculation: \\ R bar & Show calculation: \\ UCL x bar & Show calculation: \\ LCL x bar & Show calculation: \\ UCL R & Show calculation: \\ LCL R & Show calculation: \\ \hline \end{tabular} Construct a 3 sigma mean X bar chart. Is the process in control? Construct a 3 sigma range R chart. Is the process in control? After the control chart was established (above), a sample of four observations had the following times in seconds : 185,150,192, and 178 . Is corrective action needed? Treat these four observations like a new sample period (day of the week). Determine X bar and R and see if the results fall between UCL and LCL calculated above